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# Square Pyramid Calculator

This pyramid calculator computes side, height, apothem, lateral edge, volume and surface area. Also, the calculator writes a step-by-step explanation on how to find the solution.

Square pyramid
Input any two elements of a pyramid and select a variable to find.
help ↓↓ examples ↓↓
Solve for
Input two elements of a pyramid.
a =

h =
s =

e =
r =

d =
V =

A =
B =

L =
working...
Square Pyramid formulas
 $$V = \frac{a^2 \, h }{3}$$ volume
 $$A_{base} = a^2$$ base area
 $$A_{lat} = 2 \times a \times h$$ lateral area
 $$A_{tot} = A_{base} + A_{lateral}$$ total area
 $$r = \frac{a}{2}$$ base radius
 $$s^2 = h^2 + \frac{a^2}{4}$$ slant height
 $$e^2 = s^2 + \frac{a^2}{4}$$ lateral edge
 $$e^2 = h^2 + \frac{d^2}{4}$$ lateral edge
Square Pyramid - examples
ex 1:
The height of a square pyramid is 25, and its base area is 81. Determine the total surface area.
ex 2:
Find the total surface area of the square pyramid with a height of 8cm and a length of 12 cm.
ex 3:
Find the volume of the square pyramid with a height of 12cm and a lateral edge of 13cm.
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